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Finding the Third Proportional to 685,072.69 and 957,769.31

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Solution

The third proportional to 685,072.69 and 957,769.31 is: 1,339,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,072.69 : 957,769.31 = 957,769.31 : x
  2. Step 2: Convert to fraction form
    685,072.69/957,769.31 = 957,769.31/x
  3. Step 3: Cross multiply
    685,072.69x = 957,769.31 × 957,769.31
  4. Step 4: Simplify right side
    685,072.69x = 917,322,055,966.72
  5. Step 5: Solve for x
    x = 917,322,055,966.72/685,072.69
  6. Step 6: Final answer
    x = 1,339,014.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.